SOLUTION: The sum of two numbers is 36. The larger number is three times the smaller number. Find the two numbers. (Using the bar modeling strategy).

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Question 987191: The sum of two numbers is 36. The larger number is three times the smaller number. Find the two numbers. (Using the bar modeling strategy).
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y, two numbers;
x%3Cy;
system%28x%2By=36%2Cy=3%2Ax%29;
Number properties and arithmetic are enough to solve for x and y.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 36. The larger number is three times the smaller number. Find the two numbers. (Using the bar modeling strategy).
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Equations:
x + y = 36
x = 3y
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Substitute for "x" and solve for "y"::
3y + y = 36
4y = 36
y = 9
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Solve for "x":
x = 3y
x = 3*9
x = 27
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Cheers,
Stan H.
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